(1,3) , (0,-2) use the graph to derive the equation of the line in slope intercept

Answer 1

form.

First, calculate the slope of the line using the two points given:

Slope (m) = (y2 - y1) / (x2 - x1) = (-2 - 3) / (0 - 1) = -5 / -1 = 5

Now, substitute one of the points and the slope into the slope-intercept form equation y = mx + b to solve for the y-intercept (b):

Using point (1,3):
3 = 5(1) + b
3 = 5 + b
b = 3 - 5
b = -2

Therefore, the equation of the line in slope-intercept form is y = 5x - 2.